Statistical Applets

Statistical Significance for One Proportion

This applet illustrates statistical tests with a fixed level of significance for a population proportion, p. The mechanics are different for other tests, but the concepts are essentially the same.

The Normal distribution shows the sampling distribution of when your null hypothesis is true and the sample size is the one you chose. The yellow area under the curve represents values of that are significant at level α. This area is equal to α.

To set up the test, fill in the boxes: What is the null hypothesis about p (the numerical value you are comparing your sample result to)? Which alternative represents the question of interest, and what significance level do you require? How many observations n do you have (30,000 or fewer)?

If you already have a sample, enter the number of "successes" (X) to display the sample proportion on the graph and calculate its statistical significance. Or specify p to create a random sample from the population. Click NEW SAMPLE to generate different random samples.